Pregnancy Came as a (Pleasant) Surprise to Alanis Morissette

But Alanis Morissette says she was thrilled to find out during a recent doctor's visit that she is, in fact, pregnant with her first child – just a few months after getting married to rapper Souleye.

"I actually thought I wasn't," the Canadian singer, 36, told Chelsea Handler Wednesday on E!'s Chelsea Lately". "I had just sort of said in passing [to my doctor] that I was a little late … And he said, 'Let's take a quick look.' "

A short time later, the doctor said it "looked like" the singer was pregnant. "And I said, 'There's still a chance that I'm not, though, yes?' " she says. "And he said, 'About as likely as my getting a sex change.' And I said, 'So, when are you getting your sex change?' "

Joking aside, Morissette said she was "very happy" to get the news.

Morissette married Souleye, 30, whose real name is Mario Treadway, in small ceremony at their Los Angeles home in May. On Wednesday, she recalled meeting him for the first time at a meditation ceremony at her house.

"He walked in, and I thought, 'Wow, he's incredibly sexy,' " she said. "But I had no idea what was to become of our little connection."